Summary
International Symposium on Antennas and Propagation
2010
Session Number:2WB2
Session:
Number:2WB2-4
Marching-on-in-Time Method with Equivalent Dipole Moment Method for Time Domain Electric Field Integral Equation
Jaroslav Lacik,
pp.-
Publication Date:2010/11/23
Online ISSN:2188-5079
Summary:
For transient analysis of electromagnetic radiation and scattering, the time domain electric field integral equation (TD-EFIE) can be solved. For their numerical solution, the marching-on-in-time (MOT) [1] method can be applied, and TD-EFIE is solved in space by the method of moments (MoM). Although the MoM employing triangular surface patches is a versatile technique for variety EM problems, one of its major disadvantage is a high computational complexity which is proportional to the square of the number of surface unknowns, since the electromagnetic coupling between all discretized elements has to be considered. In recent years, several techniques have been proposed to decrease the computational complexity of the MOT method. The plane wave time domain (PWTD) algorithm [2] and time domain adaptive integral equation method (TD-AIM) [3] belong between the most popular ones. Although the computation complexity of these methods is lower than the classical MOT method, they are suitable mainly for modelling electrically large structures. This paper is focused on the investigation of speeding up the classical MOT method for the TD-EFIE by the equivalent dipole moment (EDM) method. The EDM method has been applied for speeding up the MoM in the frequency domain [4], [5], however, no attempt has been done in the time domain. The own idea of the EDM method consists in computing the interaction between the source and testing function locations directly (the approximation of the radiated field by an infinitely small dipole with the equivalent moment) for a separation distance larger than the nominal value, without evaluating the double integral. It will be shown that the MOT method with the EDM method is faster than the classical one, even if it is not used for modelling electrically large structures. The investigation is limited to open perfectly electric conducting structures to avoid troubles with internal resonances.